Stalemate for Georgia and Israel
Luis Fernandez's Israel side started their campaign with a 3-1 home win over Malta on Thursday thanks to a hat-trick from captain Yossi Benayoun, but were unable to break down a stubborn Georgia defence at the Boris Paichadze National Stadium.
Lior Refaelov tested Nukri Revishvili just before half-time but the Georgia goalkeeper was equal to his effort.
For Georgia, it was a second successive draw after they opened with a 1-1 result against 2004 European champions Greece in Piraeus on Friday.
The hosts came closest to scoring when Gogita Gogua's free-kick smashed against the bar.